Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656ci |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.5066201612431E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1740104,-447027216] |
[a1,a2,a3,a4,a6] |
Generators |
[-643225:22303918:1331] |
Generators of the group modulo torsion |
j |
1209209052196153/520164058176 |
j-invariant |
L |
4.9489202555082 |
L(r)(E,1)/r! |
Ω |
0.13666969406945 |
Real period |
R |
9.0527025155508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998429956 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15582k2 17808y2 |
Quadratic twists by: -4 -7 |